Alexa is comparing the cost of lobster at two different restaurants. One restaurant called 'Lobster Foods' charges $18 for the lobster meal, plus $7 per kilogram of her choice of lobster. On the other hand, at 'Megan's Lobster' she would have to pay $8 per kilogram for the lobster, plus $17 for the meal. Alexa theorized that the cost of the dinner at both restaurants could cost the same amount if the lobster had a certain weight. What is the weight of the lobster? How much would Alexa pay for her dinner?

Question

Tanner Snow

Mathematics

15 October, 07:29

Alexa is comparing the cost of lobster at two different restaurants. One restaurant called 'Lobster Foods' charges $18 for the lobster meal, plus $7 per kilogram of her choice of lobster. On the other hand, at 'Megan's Lobster' she would have to pay $8 per kilogram for the lobster, plus $17 for the meal. Alexa theorized that the cost of the dinner at both restaurants could cost the same amount if the lobster had a certain weight. What is the weight of the lobster? How much would Alexa pay for her dinner?

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Answers (1)

Know the Answer?

Tessa Quinn · Answer 1

The weight of the lobster is 1 kilogram.

Alexa will pay $25 for her dinner.

Step-by-step explanation:

Let's call the amount of kilograms of lobster K and then formulate equations based on the problem information:

The price in Lobster Foods is L = 18 + 7*K

The price in Megan's Lobster is M = 17 + 8*K

To know how much kilograms of lobster will make both prices be the same, we just need to equate both equations:

L = M

18 + 7*K = 17 + 8*K

8*K - 7*K = 18 - 17

K = 1

The weight of the lobster is 1 kilogram, and Alexa will pay 18 + 7*1 = $25 for the dinner.